An exploration of an early gravity transition in light of cosmological tensions

TL;DR

This paper investigates a step-like change in the effective Planck mass before recombination, showing it can reconcile some cosmological tensions by adjusting the sound horizon and Hubble constant.

Contribution

It introduces a transitional Planck mass model constrained by cosmological data, offering a new approach to address tensions in Hubble constant and matter density measurements.

Findings

Prefers a ~5% shift in effective Planck mass before recombination.

Reduces the sound horizon, increasing H_0 estimates.

Improves fit to data compared to ΛCDM by Δχ² = -23.72.

Abstract

We study a step-like transition in the value of the effective Planck mass (or effective gravitational constant) on cosmological scales prior to recombination. We employ CMB, BAO, and SNIa data and find they are sufficient to strongly constrain our implementation of the Effective Field Theory of Dark Energy and Modified Gravity, used to model the transition, to a limited parameter space. The data prefer a $\sim 5\%$ shift in the value of the effective Planck mass ($<10 \%$ at $2 \sigma$) prior to recombination. This Transitional Planck Mass (TPM) model is free to undergo its transition at any point over multiple decades of scale factor prior to recombination, $\log_{10}(a) = -5.32^{+0.96}_{-0.72}$ (68\% CL). This lowers the sound horizon at last scattering, which increases the Hubble constant to $71.09 \pm 0.75$ km $\textrm{s}^{-1}\textrm{Mpc}^{-1}$ with a combination of local measurements as prior and to $69.22^{+0.67}_{-0.86}$ km $\textrm{s}^{-1}\textrm{Mpc}^{-1}$ when the prior is excluded. The TPM model improves $\chi^2$ with respect to $\Lambda$CDM by $\Delta \chi^2 = -23.72$ with the $H_0$ prior and $\Delta \chi^2 = -4.8$ without the prior. The model allows for both $H_0 > 70$ km$\textrm{s}^{-1}\textrm{Mpc}^{-1}$ and $S_8 < 0.80$ simultaneously with lower values of $S_8$ due to a reduction in the matter density $\Omega_m$ to offset the increase in $H_0$ relative to $\Lambda$CDM. While this is a particular modified gravity model, studying other variants of modified gravity may be a productive path for potentially resolving cosmological tensions, while avoiding the need for a cosmological constant.